University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 6, Problem 75AP
(a) Calculate the electric flux through the open hemispherical surface due to the electric field
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(a) Calculate the electric flux through the rectangle of sides 5 cm and 10 cm kept in the region of a uniform electric field 100 N/C. The angle θ is 60°. (b) Suppose θ becomes zero, what is the electric flux?
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A quadrilateral plate having a side length of 0.5m with A at 40® to a uniform electric field E of magnitude 3.0 x 103 N/C.
(a) What is the electric flux through the disk?
(b) What is the flux through the disk if it is turned so that ?⃗ is perpendicular to ?⃗⃗?
(c) What is the flux through the disk if ?⃗ is parallel to ?⃗⃗?
(a) Consider an electric field that is given by E= -2.0-3.0ỹ - 2.02 (Units V/m).
Find the flux of the field through a square surface of side length 1 cm that lies in
the yz plane.
(b) What is the total electric flux through the closed surface whose cross sections are
shown below?
(a)
4.0 x 10-6 C
-3.0 x 10-6 C
5.0 x 10-6 C
(b)
-2.0 x 10-6 C
Chapter 6 Solutions
University Physics Volume 2
Ch. 6 - Check Your Understanding What angle should there...Ch. 6 - Check Your Understanding If the electric field in...Ch. 6 - Check Your Understanding Calculate the electric...Ch. 6 - Check Your Understanding Check that the electric...Ch. 6 - Check Your Understanding A thin straight wire has...Ch. 6 - Check Your Understanding How will the System above...Ch. 6 - Discuss how to orient a planar surface of area A...Ch. 6 - What are the maximum and minimum values of the...Ch. 6 - The net electric flux crossing a closed surface is...Ch. 6 - The net electric flux crossing an open surface is...
Ch. 6 - Two concentric spherical surfaces enclose a point...Ch. 6 - Compare the electric flux through the surface of a...Ch. 6 - (a) If the electric flux through a closed surface...Ch. 6 - Discuss how Gauss's law would be affected if the...Ch. 6 - Discuss the similarities and differences between...Ch. 6 - Discuss whether Gauss's law can be applied to...Ch. 6 - Is the term in Gauss's law the electric field...Ch. 6 - Reformulate Gauss's law by choosing the unit...Ch. 6 - Would Gauss's law be helpful for determining the...Ch. 6 - Discuss the role that symmetry plays in the...Ch. 6 - Discuss the restrictions on the Gaussian surface...Ch. 6 - Is the electric field inside a metal always zero?Ch. 6 - Under electrostatic conditions, the excess charge...Ch. 6 - A charge q is placed in the cavity of a conductor...Ch. 6 - The conductor in the preceding figure has an...Ch. 6 - A uniform electric field of magnitude 1.1104 N/C...Ch. 6 - Calculate the flux through the sheet of the...Ch. 6 - Find the electric flux through a rectangular area...Ch. 6 - The electric flux through a square-shaped area of...Ch. 6 - Two large rectangular aluminum plates of area 150...Ch. 6 - A square surface of area 2 cm2 is in a space of...Ch. 6 - A vector field is pointed along the z-axis,...Ch. 6 - Consider the uniform electric field...Ch. 6 - Repeat the previous problem, given that the...Ch. 6 - An infinite charged wire with charge per unit...Ch. 6 - Determine the electric flux through each surface...Ch. 6 - Find the electric flux through the closed surface...Ch. 6 - A point charge q is located at the center of a...Ch. 6 - A point charge of 10C is at an unspecified...Ch. 6 - A net flux of 1.0104 N ? m2/C passes inward...Ch. 6 - A charge q is placed at one of the comers of a...Ch. 6 - The electric flux through a cubical box 8.0 cm on...Ch. 6 - The electric flux through a spherical surface is...Ch. 6 - A cube whose sides are of length d is placed in a...Ch. 6 - Repeat the previous problem, assuming that the...Ch. 6 - A total charge 5.0106 C is distributed uniformly...Ch. 6 - Recall that in the example of a uniform charged...Ch. 6 - Suppose that the charge density of the spherical...Ch. 6 - A very long, thin wile has a uniform linear charge...Ch. 6 - A charge of 30C is distributed uniformly a...Ch. 6 - Repeat your calculations for the preceding...Ch. 6 - A total charge Q is distributed uniformly...Ch. 6 - When a charge is placed on a metal sphere, it ends...Ch. 6 - A large sheet of charge has a uniform charge...Ch. 6 - Determine if approximate cylindrical symmetry...Ch. 6 - A long silver rod of radius 3 cm has a charge of...Ch. 6 - ne electric field at 2 cm from the center of long...Ch. 6 - A long copper cylindrical shell of inner radius 2...Ch. 6 - Charge is distributed uniformly with a density p...Ch. 6 - Charge is distributed throughout a very long...Ch. 6 - The electric field 10.0 cm from the surface of a...Ch. 6 - Charge is distributed throughout a spherical shell...Ch. 6 - Charge is distributed throughout a spherical...Ch. 6 - Consider a uranium nucleus to be sphere of radius...Ch. 6 - The volume charge density of a spherical charge...Ch. 6 - An uncharged conductor with an internal cavity is...Ch. 6 - An uncharged spherical conductor S of radius R has...Ch. 6 - A positive point charge is placed at the angle...Ch. 6 - A long cylinder of copper of radius 3 cm is...Ch. 6 - An aluminum spherical ball of radius 4 cm is...Ch. 6 - A long cylinder of aluminum of radius R meters is...Ch. 6 - At the surface of any conductor in electrostatic...Ch. 6 - Two parallel plates 10 cm on a side are given...Ch. 6 - Two parallel conducting plates, each of...Ch. 6 - The surface charge density on a long straight...Ch. 6 - A point charge q=5.01012 C is placed at the center...Ch. 6 - A solid cylindrical conductor of radius a is...Ch. 6 - A vector field E (not necessarily an electric...Ch. 6 - Repeat the preceding problem, with E=2xi+3x2k.Ch. 6 - A circular area S is concentric with the origin,...Ch. 6 - (a) Calculate the electric flux through the open...Ch. 6 - Suppose that the electric field of an isolated...Ch. 6 - The electric field in a region is given by...Ch. 6 - Two equal and opposite charges of magnitude Q are...Ch. 6 - A fellow student calculated the flux through the...Ch. 6 - A 10cm10cm piece of aluminum foil of 0.1 mm...Ch. 6 - Two 10cm10cm pieces of aluminum foil of thickness...Ch. 6 - Two large copper plates facing each other have...Ch. 6 - The infinite slab between the planes defined by...Ch. 6 - A total charge Q is distributed uniformly...Ch. 6 - A non-conducting spherical shell of inner radius...Ch. 6 - Two non-conducting spheres of radii R1 and R2 are...Ch. 6 - A disk of radius R is cut in a non-conducting...Ch. 6 - Concentric conducting spherical shells carry...Ch. 6 - Shown below ale two concentric conducting...Ch. 6 - A point charge of q=5.0108 C is placed at the...Ch. 6 - Re-derive Gauss's law for the gravitational field,...Ch. 6 - An infinite plate sheet of charge of surface...Ch. 6 - A spherical lubber balloon carries a total charge...Ch. 6 - Find the electric field of a large conducting...
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- Consider a uniform electric field ?⃗⃗=2kNC ?̂. (a) What is the flux of this field through a square of side 10 cm in a plane parallel to the yz-plane? (b) What is the flux through the same square if the normal to its plane makes a 30º angle with the x-axis?arrow_forwardConsider a uniform electric field E = 3 × 103 î N/C. (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane? (b) What is the flux through the same square if the normal to its plane makes a 60° angle with the x-axis?arrow_forward(a) If the electric flux through a closed surface is zero, is the electric field necessarily zero at all points on the surface? (b) What is the net charge inside the surface?arrow_forward
- A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit length on its surface of λ . (a) Find the electric field inside and outside the cylinder. (b) Plot electric field as a function of distancefrom the center of the rod.arrow_forwardFind the flux of the electric field through each of the five surfaces of the inclined plane as shown in Fig. What is the total flux through the entire closed surface? AY F E a Fig. 0 B E ←64> ➤Xarrow_forwardThe square surface shown in the figure measures 4.3 mm on each side. It is immersed in a uniform electric field with magnitude E- 1900 N/C and with field lines at an angle of 35° with a normal to the surface, as shown. Take that normal to be "outward," as though th surface were one face of a box. Calculate the electric flux through the surface. Normal-arrow_forward
- Suppose the charge at the center is now increased to +6Q, while the charge at the surface of the conductor is changed to +4Q. (Use the following as necessary: ?0, ?, Q and r.) (a) Find the electric field exterior to the sphere, for r > b.arrow_forwardA square plate with a side of 1 m is in a horizontal position. The uniform electric field in the X-Y plane is 100 N/C at an angle of 60° to the X axis (see figure). Calculate the flux through the square plate!arrow_forward(b) It was measured that the electric field at point P with magnitude 450 N/C just outside the outer surface of a hollow spherical conductor. The direction of the electric field is directed outward. The hollow spherical conductor has an inner radius of 15 cm and outer radius of 30 cm. After that, another particle with unknown charge Q is put at the center of the sphere, the electric field at point P is still directed outward but the magnitude of the electric field decreased down to 180 N/C. i. Calculate the net charge enclosed by the outer surface before particle Q was introduced ii. Calculate charge Q After charge Q was introduced, iii. Determine the charge on the inner surface of the conductor iv. Determine the charge on the outer surface of the conductorarrow_forward
- What is the flux through the total surface of a cube of side length 20.0 cm centered on a point charg of -4.00nc? A metal sphere carrying net charge +6.00 uC is placed around -4.00 uC charge. What is the charges on the interior and exterior surfaces of the metal sphere? Justify your answer.arrow_forwardFigure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?arrow_forwardA non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the roddepends on θ and is given byλ =λ0/cos θwhere λ0 is a positive constant. The arc extends from θ =π/4 to θ =3π/4as shown a)Sketch the direction of the resultant electric field at the origin.b) Calculate the magnitude of the electric field E->.arrow_forward
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